Numerical Analysis - Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to numerical analysis: the study of methods of computing numerical data. In many problems this implies producing a sequence of approximations; thus the questions involve the rate of
convergence, the accuracy (or even validity) of the answer, and the completeness of the response. Since many problems across mathematics can be reduced to linear algebra, this too is studied numerically; here there are significant problems with the amount of time necessary to process the initial data. Numerical solutions to differential equations require the determination not of a few
numbers but of an entire function; in particular, convergence must be judged by some global criterion. Other topics include numerical simulation, optimization, and graphical analysis, and the development of robust working code. Numerical linear algebra topics: solutions of linear systems AX = B, eigenvalues and eigenvectors, matrix factorizations. Calculus topics: numerical differentiation and integration, interpolation, solutions of nonlinear equations f(x) = 0. Statistical topics: polynomial approximation, curve fitting. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.
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Numerical Analysis - Math Forum
Links to some of the best Internet resources for numerical analysis: Web sites, software, Internet projects, publications, and public forums for discussion.
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alt.math.undergrad - Math Forum
An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions.
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Arizona Mathematical Software
A collection of approximately 60 educational programs that are designed for use by instructors and students in classroom, laboratory, and home environments. Software falls into four categories: Are You Ready?; Slide Shows; Teacher Aids; Toolkits. It runs
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BigPrimes.net - BigPrimes.net
An archive of primes, plus information on each prime, and on prime numbers in general, number systems, types of numbers, and universal constants. The number cruncher will tell you facts about numbers you submit.
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DigiArea Group - Helen Golovina
Makers of atlas™, a Maple package for differential geometry calculations that works with manifolds, mappings, embeddings, submersions, p-forms, and tensor fields; and LdeApprox™, a toolbox for Maple or Mathematica that finds analytical polynomial
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Elsevier Science
"Information Provider to the World." Elsevier's mission is "to advance science, technology and medical science by fulfilling, on a sound commercial basis, the communication needs specific to the international community of scientists, engineers and associated
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Finite Element Mesh Generation - Robert Schneiders
Mesh generation is an interdisciplinary area within numerical analysis that includes mathematicians, computer scientists, and engineers from many disciplines. This page is intended to build a bridge between theory and applications. People and research
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Floating-Point Number Tutorial - Joseph L. Zachary
A tutorial designed to help you understand the significance of mantissa size and exponent range and the meaning of underflow, overflow, and roundoff error. Includes a Java applet in a separate window for use alongside the tutorial. From a Computer Science
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Foundations of Computational Mathematics
The FoCM's primary aim is to further the understanding of the deep relationships between mathematical analysis, topology, geometry and algebra and the computational process as they are evolving together with the modern computer. The meetings are unified
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Futility Closet - Greg Ross
"An idler's miscellany of compendious amusements." Math posts, which date back to January, 2005, have included puzzles, curios, and trivia from the lives of famous mathematicians -- all "self-contained and written as concisely as possible" -- such as
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Gallery of Mathematical Models - Arthur Sherman
"Gold standard" versions of published models, given as input files for xpp but also human-readable ASCII files adaptable for use with other programs. Beta-Cell Models: Generic, CRAC Models I and II, Smolen-Keizer, Keizer-Smolen, Sherman-Keizer-Rinzel
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GNU Octave Repository
Custom scripts, functions and extensions to GNU Octave. Site includes alphabetical list of functions available for download and a related mailing list, with archives.
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Guy Kindler - The Official Site - Guy Kindler
A mathematics Ph.D. student at Tel Aviv University. Math puzzles are ranked from easy to tough. A paper on approximation and various resources for a seminar on computational models may be downloaded in PostScript format. Related PowerPoint presentations
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ILNumerics - Jonas Nordholt
This numerical library for .NET supports the creation of algorithms and visualizations for scientific computing and technical applications. Available in free, open source Community Edition as well as Professional Edition, which offers prebuilt binariesc
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